Fixed point index methods are used to explore the structure of the set of harmonic solutions to periodically perturbed coupled differential equations on differentiable manifolds. The results obtained generalize existing theorems for single differential equation by gathering them in an unique framework.
BRANCHES OF HARMONIC SOLUTIONS TO PERIODICALLY PERTURBED COUPLED DIFFERENTIAL EQUATIONS ON MANIFOLDS / M. SPADINI. - In: DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS. - ISSN 1078-0947. - STAMPA. - 15:(2006), pp. 951-964. [10.3934/dcds.2006.15.951]
BRANCHES OF HARMONIC SOLUTIONS TO PERIODICALLY PERTURBED COUPLED DIFFERENTIAL EQUATIONS ON MANIFOLDS
SPADINI, MARCO
2006
Abstract
Fixed point index methods are used to explore the structure of the set of harmonic solutions to periodically perturbed coupled differential equations on differentiable manifolds. The results obtained generalize existing theorems for single differential equation by gathering them in an unique framework.
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